|a+bi| = √(a² + b²)
-4-√2 i -> take a = -4 and b = -√2
|-4-√2 i| = √[ (-4)² + (<span>-√2)² ]
= </span><span>√[ 16 + 2<span> ]
</span></span><span>= √[ 18 ]</span> = <span>√[ 9 * 2 ]
= 3√2
the absolute value is 3√2</span>
Answer:
x =
if you consider doing decimal form x = 0.58027921. . .
Step-by-step explanation:
Take logarithm of both sides of the equation to remove the variable from the exponent.
Answer:
c(x)=(x+3)^2+5
Step-by-step explanation:
To complete the square, the same value needs to be added to both sides.
So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression
C(x) =x^2 +6x + 9 + 14
Since 9 was added to the right-hand side also add 9 to the left-hand side
C(x) +9= x^2 +6x + 9 + 14
Using a^2 + 2ab + b^2=(a+b)^2, factor the expression
C(x)+9= (x+3)^2 +14
Move constant to the right-hand side and change its sign
C(x)=(x+3)^2 +14 - 9
Subtract the numbers
C(x)= (x+3)^2 +5
Answer:

Step-by-step explanation:
Total number of coins in the bag = 5 + 4 + 5 + 2 = 16 coins
Number of nickels in the bag = 4
We have to find the probability that Marissa draws a nickels from the bag.
Probability is defined as the ratio of Number of "Favorable Outcomes" to "Total number of possible outcomes"
In this case total number of possible outcomes is the total number of coins which is 16.
Favorable/Desires outcome is drawing a Nickle from the bag which are 4 in number. So, number of favorable outcomes is 4
Therefore, the probability that she will draw a nickel = 
Answer:
4. x=14.1 mi 6.x=8r3 km
Step-by-step explanation: